SOLUTION:
...A coffee merchant combines coffee costing $6.00 per pound with coffee costing $4.50 per pound. How many pounds of each should be used to make 30 lb of a blend costing $5.
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Question 519443:
...A coffee merchant combines coffee costing $6.00 per pound with coffee costing $4.50 per pound. How many pounds of each should be used to make 30 lb of a blend costing $5.30 per pound?
$6.00/lb coffee 1 lb
$4.50/lb coffee 2 lb
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A coffee merchant combines coffee costing $6.00 per pound with coffee costing $4.50 per pound. How many pounds of each should be used to make 30 lb of a
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Equation:
value + value = value
6x + 4.5(30-x) = 5.3*30
Multiply thru by 10 to get:
60x + 45*30 - 45x = 53*30
15x = 8*30
x = 16 lbs (amt. of $6 coffee needed)
----
30-x = 14 lbs (amt of $4.50 coffee needed)
=================
Cheers,
Stan H.
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blend costing $5.30 per pound?
$6.00/lb coffee 1 lb
$4.50/lb coffee 2 lb
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $6 coffee needed
Let = pounds of $4.50 coffee needed
given:
(1)
(2) ( in dimes)
-------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
16 pounds of $6 coffee are needed
14 pounds of $4.50 coffee are needed
check:
(2)
(2)
(2)
(2)
OK
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